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Finding the Third Proportional to 65,790 and 159,080

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Solution

The third proportional to 65,790 and 159,080 is: 384,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,790 : 159,080 = 159,080 : x
  2. Step 2: Convert to fraction form
    65,790/159,080 = 159,080/x
  3. Step 3: Cross multiply
    65,790x = 159,080 × 159,080
  4. Step 4: Simplify right side
    65,790x = 25,306,446,400
  5. Step 5: Solve for x
    x = 25,306,446,400/65,790
  6. Step 6: Final answer
    x = 384,654.91

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.